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Grinstead-Snell-Probability
· Problem 4.1.58
Conditional Probability
Mathematics · attraction-characterization
Problem
Prove that
A
A
A
and
B
B
B
are mutually attractive if and only if
P
(
B
∣
A
)
>
P
(
B
∣
A
~
)
P(B|A) > P(B|\tilde{A})
P
(
B
∣
A
)
>
P
(
B
∣
A
~
)
.
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